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Finding the Fourth Proportional to 495,684, 683,731.76 and 395,321.76

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Solution

The fourth proportional to 495,684, 683,731.76 and 395,321.76 is: 545,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,684 : 683,731.76 = 395,321.76 : x
  2. Step 2: Convert to fraction form
    495,684/683,731.76 = 395,321.76/x
  3. Step 3: Cross multiply
    495,684x = 683,731.76 × 395,321.76
  4. Step 4: Simplify right side
    495,684x = 270,294,042,731.10
  5. Step 5: Solve for x
    x = 270,294,042,731.10/495,684
  6. Step 6: Final answer
    x = 545,295.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.